Chapter 14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function

Find the numbers at which f is continuous. At which numbers is f discontinuous?

$f\left(x\right)=4\sin x$

Find the numbers at which f is continuous. At which numbers is f discontinuous?

$f\left(x\right)=-2\cos x$

Find the numbers at which f is continuous. At which numbers is f discontinuous?

$f\left(x\right)=2\tan x$

Find the numbers at which f is continuous. At which numbers is f discontinuous?

$f\left(x\right)=4\cos ecx$

Find the numbers at which f is continuous. At which numbers is f discontinuous?

$f\left(x\right)=\frac{2x+5}{x^2-5}$

In Problems 7– 42, find each limit algebraically

$\underset{x\to 1}{\lim }5$

In Problems 7–16, use a table to find the indicated limit.

$7.\underset{x\to 2}{\lim }\left(4x^3\right)$

If we only approach c from one side, then we have a(n) ___________limit.

True or False The slope of the tangent line to the graph of fat $\left(c,f\left(c\right)\right)$ is the derivative of f at c.

find the limit $\underset{x\to 1}{\lim }\frac{x-1}{x^3-1}$